A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
Dentro del libro
Resultados 1-5 de 80
Página ix
... point ( see also pp . 166 189 , 391 ) • Radii Vectores through Foci have equal difference of Reciprocals . Examples ... CONTACT OF CONICS 225 Contact having double contact 226 Osculating Circle defined 227 Expressions and construction ...
... point ( see also pp . 166 189 , 391 ) • Radii Vectores through Foci have equal difference of Reciprocals . Examples ... CONTACT OF CONICS 225 Contact having double contact 226 Osculating Circle defined 227 Expressions and construction ...
Página x
... Points · 233 Equation of osculating Circle Equations of Conics having double contact with each other 234 234 Every Parabola has a Tangent at infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at mfinity ...
... Points · 233 Equation of osculating Circle Equations of Conics having double contact with each other 234 234 Every Parabola has a Tangent at infinity ( see also p . 329 ) Similar and similarly placed Conics have common Points at mfinity ...
Página xi
... Point be within or without a Conic 260 261 · Discriminant of Tangential Equation 262 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 262 · touching four Lines ...
... Point be within or without a Conic 260 261 · Discriminant of Tangential Equation 262 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 262 · touching four Lines ...
Página xii
... Point where Tangent meeting two fixed Tangents is cut in a given ratio 277 ... contact with a given one 282 Polar of one Circle with regard to another 283 ... Point infinitely distant Centre the Pole of the Line at infinity 295 296 ...
... Point where Tangent meeting two fixed Tangents is cut in a given ratio 277 ... contact with a given one 282 Polar of one Circle with regard to another 283 ... Point infinitely distant Centre the Pole of the Line at infinity 295 296 ...
Página xiv
... Points common to two Conics Equation of four common Tangents Their eight Points of Contact lie on a Conic Covariants and Contravariants defined Discriminant of Covariant F , when vanishes 342 343 344 • 345 : 346 348 How to find ...
... Points common to two Conics Equation of four common Tangents Their eight Points of Contact lie on a Conic Covariants and Contravariants defined Discriminant of Covariant F , when vanishes 342 343 344 • 345 : 346 348 How to find ...
Contenido
81 | |
88 | |
99 | |
103 | |
116 | |
129 | |
136 | |
146 | |
153 | |
159 | |
165 | |
166 | |
169 | |
171 | |
181 | |
190 | |
201 | |
206 | |
208 | |
214 | |
222 | |
225 | |
231 | |
232 | |
289 | |
295 | |
301 | |
314 | |
327 | |
333 | |
335 | |
337 | |
343 | |
347 | |
348 | |
353 | |
359 | |
377 | |
379 | |
383 | |
389 | |
393 | |
394 | |
395 | |
396 | |
398 | |
399 | |
Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
Pasajes populares
Página 20 - DISEASES OF THE SHEEP: being a Manual of Ovine Pathology for the use of Veterinary Practitioners and Students.
Página 15 - Mill. — ANALYSIS OF THE PHENOMENA OF THE HUMAN MIND. By JAMES MILL. With Notes, Illustrative and Critical.
Página 11 - CRITIQUE OF PRACTICAL REASON, AND OTHER WORKS ON THE THEORY OF ETHICS.
Página 5 - A General History of Greece from the Earliest Period to the Death of Alexander the Great, with a sketch of the subsequent History to the present time. New Edition. Crown 8vo. Cloth, price 7$. 6d, Tales of Ancient Greece.
Página 13 - HISTORY OF ENGLAND FROM THE ACCESSION OF JAMES THE SECOND. Popular Edition. 2 vols. Cr. 8vo., 55.
Página 23 - STRANGE DWELLINGS ; a Description of the Habitations of Animals, abridged from
Página 24 - ALFRED PLUMMER, DD THE EVANGELICAL REVIVAL IN THE EIGHTEENTH CENTURY. By the Rev. JH OVERTON, DD THE UNIVERSITY OF OXFORD.
Página 13 - Hastings. (3</. sewed, 6d. cloth.) The Earl of Chatham (Two Essays). Ranke and Gladstone. Milton and Machiavelli. Lord Bacon. Lord Clive. Lord Byron, and The Comic Dramatists of the Restoration. The Essay on Warren Hastings annotated by S. HALES, is.
Página 18 - THE STARS IN THEIR SEASONS An Easy Guide to a Knowledge of the Star Groups, in 12 Large Maps. Imperial 8vo. 5*.
Página 22 - Sea- Fisherman: comprising the Chief Methods of Hook and Line Fishing in the British and other Seas, a glance at Nets, and remarks on Boats and Boating. Second Edition, enlarged, with 80 Woodcuts. Post 8vo. 12s. Gd. The Fly- Fisher's Entomology. By ALFRED RONALDS. With coloured Representations of the Natural and Artificial Insect.